8. Vectors

Geometric Vectors

Open Question
In Exercises 39–46, find the unit vector that has the same direction as the vector v.v = 6i
Open Question
In Exercises 39–46, find the unit vector that has the same direction as the vector v.v = 3i - 4j
Open Question
In Exercises 39–46, find the unit vector that has the same direction as the vector v.v = 3i - 2j
Open Question
In Exercises 39–46, find the unit vector that has the same direction as the vector v.v = i + j
Open Question
In Exercises 47–52, write the vector v in terms of i and j whose magnitude ||v|| and direction angle θ are given.||v|| = 6, θ = 30°
Open Question
In Exercises 47–52, write the vector v in terms of i and j whose magnitude ||v|| and direction angle θ are given.||v|| = 12, θ = 225°
Open Question
In Exercises 47–52, write the vector v in terms of i and j whose magnitude ||v|| and direction angle θ are given.||v|| = 1/2, θ = 113°
Open Question
In Exercises 53–56, letu = -2i + 3j, v = 6i - j, w = -3i.Find each specified vector or scalar.4u - (2v - w)
Open Question
In Exercises 53–56, letu = -2i + 3j, v = 6i - j, w = -3i.Find each specified vector or scalar.||u + v||² - ||u - v||²
Open Question
In Exercises 61–64, find the magnitude ||v||, to the nearest hundredth, and the direction angle θ, to the nearest tenth of a degree, for each given vector v.v = -10i + 15j
Open Question
In Exercises 61–64, find the magnitude ||v||, to the nearest hundredth, and the direction angle θ, to the nearest tenth of a degree, for each given vector v.v = (4i - 2j) - (4i - 8j)
Open Question
Use the figure to find each vector: u + v. Use vector notation as in Example 4.

<IMAGE>
Open Question
Use the figure to find each vector: u - v. Use vector notation as in Example 4.

<IMAGE>
Open Question
Use the figure to find each vector: - u. Use vector notation as in Example 4.

<IMAGE>
Open Question
Use the figure to find each vector: u + v. Use vector notation as in Example 4.

<IMAGE>